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What is the Least Common Multiple of 67432 and 67452?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 67432 and 67452 is 1137105816.

LCM(67432,67452) = 1137105816

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Least Common Multiple of 67432 and 67452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67432 and 67452, than apply into the LCM equation.

GCF(67432,67452) = 4
LCM(67432,67452) = ( 67432 × 67452) / 4
LCM(67432,67452) = 4548423264 / 4
LCM(67432,67452) = 1137105816

Least Common Multiple (LCM) of 67432 and 67452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67432 and 67452. First we will calculate the prime factors of 67432 and 67452.

Prime Factorization of 67432

Prime factors of 67432 are 2, 8429. Prime factorization of 67432 in exponential form is:

67432 = 23 × 84291

Prime Factorization of 67452

Prime factors of 67452 are 2, 3, 7, 11, 73. Prime factorization of 67452 in exponential form is:

67452 = 22 × 31 × 71 × 111 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 67432 and 67452.

LCM(67432,67452) = 23 × 84291 × 31 × 71 × 111 × 731
LCM(67432,67452) = 1137105816